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</o:shapelayout></xml><![endif]--></head><body lang=TR link="#0563C1" vlink="#954F72"><div class=WordSection1><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoPlainText>Değerli liste üyeleri, <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Bilkent Matematik Bölümü Analiz seminerleri kapsamındaki bir sonraki konuşma 13 Şubat Salı günü yapılacaktır. Konuşmanın detayları aşağıdadır.<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Konuşmacı: Çağın Ararat (Bilkent Üniversitesi, IE Bölümü)<o:p></o:p></p><p class=MsoPlainText> <o:p></o:p></p><p class=MsoPlainText>“Quasiconvex Set-Valued Functions"<o:p></o:p></p><p class=MsoPlainText> <o:p></o:p></p><p class=MsoPlainText>Özet: Quasiconvex set-valued functions appear naturally as risk measures for random vectors in financial mathematics. Motivated by some examples in systemic risk, in this talk, we will consider some recent developments on quasiconvex monotone set-valued functions with a particular emphasis on duality theory. In applications, one usually needs to study the composition of two quasiconvex monotone set-valued functions, which is not a quasiconvex function in general. As a remedy, we will discuss the so-called natural quasiconvexity property and its consequences in the study of compositions. <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Tarih: 13 Şubat 2018, Salı, 16:00-17:00<o:p></o:p></p><p class=MsoPlainText>Bilkent Matematik Bölümü Seminer Odası SA – 141<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Çay-kurabiye ikramı konuşma öncesinde yapılacaktır.<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><a href="http://www.fen.bilkent.edu.tr/~cvmath/sem-now.html">http://www.fen.bilkent.edu.tr/~cvmath/sem-now.html</a> <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoNormal><b><span style='font-size:10.0pt;font-family:"Arial",sans-serif;color:#1F3864;mso-fareast-language:TR'><o:p> </o:p></span></b></p><p class=MsoNormal><span style='font-size:10.0pt;font-family:"Arial",sans-serif;color:#1F3864;mso-fareast-language:TR'><img border=0 width=71 height=71 id="Picture_x0020_13" src="cid:image001.jpg@01D3A406.98C0AF40" alt="Description: cid:image001.jpg@01D14797.2D3050F0"><o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:TR'>Bilkent Üniversitesi<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:TR'>Matematik Bölümü<o:p></o:p></span></p><p class=MsoNormal style='background:white'><span style='mso-fareast-language:TR'>06800 Ankara/Türkiye<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:TR'>Tel :</span><span style='mso-fareast-language:TR'> +90 312-290 15 86<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:TR'>bilmath@fen.bilkent.edu.tr</span><o:p></o:p></p></div></body></html>